Cubic Derivative Interactions and Asymptotic Dynamics of the Galileon Vacuum

Abstract

In this paper we apply the tools of the dynamical systems theory in order to uncover the whole asymptotic structure of the vacuum interactions of a galileon model with a cubic derivative interaction term. It is shown that, contrary to what occurs in the presence of background matter, the galileon interactions of vacuum appreciably modify the late-time cosmic dynamics. In particular, a local late-time attractor representing phantom behavior arises which is inevitably associated with a big rip singularity. It seems that the gravitational interactions of the background matter with the galileon screen the effects of the gravitational self-interactions of the galileon, thus erasing any potential modification of the late-time dynamics by the galileon vacuum processes. Unlike other galileon models inspired in the DGP scenario, self-accelerating solutions do not arise in this model.

16 pages, 12 eps figures

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• Can $f(R)$ gravity isotropize a pre-bounce contracting universe?
• Generalized Scalar Field Cosmologies: A Global Dynamical Systems Formulation
• Generalized scalar field cosmologies: theorems on asymptotic behavior
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• Averaging Generalized Scalar Field Cosmologies I: Locally Rotationally Symmetric Bianchi III and open Friedmann-Lemaître-Robertson-Walker models
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• Asymptotic behavior of $N$-fields Chiral Cosmology